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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 301530.bb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 301530.bb1 | 301530bb1 | \([1, 0, 1, 3029836, 339845502386]\) | \(1707775420177/27702000000000\) | \(-49895531027848026000000000\) | \([]\) | \(147847680\) | \(3.6099\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 301530.bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 301530.bb do not have complex multiplication.Modular form 301530.2.a.bb
sage: E.q_eigenform(10)